The first part of these lecture notes is an introduction to potential theory to prepare the reader for later parts, which can be used as the basis for a series of advanced lectures/seminars on potential theory/harmonic analysis. Topics covered in the book include minimal thinness, quasiadditivity of capacity, applications of singular integrals to potential theory, L(p)-capacity theory, fine limits of the Nagel-Stein boundary limit theorem and integrability of superharmonic functions. The notes are written for an audience familiar with the theory of integration, distributions and basic functional analysis.
Autorius: | Matts Essen, Hiroaki Aikawa, |
Serija: | Lecture Notes in Mathematics |
Leidėjas: | Springer Berlin Heidelberg |
Išleidimo metai: | 1996 |
Knygos puslapių skaičius: | 212 |
ISBN-10: | 3540615830 |
ISBN-13: | 9783540615835 |
Formatas: | Knyga minkštu viršeliu |
Kalba: | Anglų |
Žanras: | Real analysis, real variables |
Parašykite atsiliepimą apie „Potential Theory - Selected Topics“